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arXiv · 2107.13133

Divergence equations and uniqueness theorem of static spacetimes with conformal scalar hair

Takeshi Shinohara·Yoshimune Tomikawa·Keisuke Izumi·Tetsuya Shiromizu
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Abstract

We reexamine the Israel-type proof of the uniqueness theorem of the static spacetime outside the photon surface in the Einstein-conformal scalar system. We derive in a systematic fashion a new divergence identity which plays a key role in the proof. Our divergence identity includes three parameters, allowing us to give a new proof of the uniqueness.

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Takeshi Shinohara, Yoshimune Tomikawa, Keisuke Izumi, Tetsuya Shiromizu. 2021-07-28. Divergence equations and uniqueness theorem of static spacetimes with conformal scalar hair. https://doi.org/10.1093/ptep/ptab107

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